Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

NATO ASI series. Series B : Physics

Toward a Causal Interpretation of the Relativistic Quantum Mechanics of a Spinning Particle

Nicola Cufaro Petroni

Published Jan 1, 1987• 0 citations
Publisher
DOI
10.1007/978-1-4684-5386-7_7

Related papers

Relativistic generalization of the Wigner function and its interpretation in the causal stochastic formulation of quantum mechanics

Peter Holland, Anastasios Kyprianidis, Z. Marić +1 more

We show how the causal interpretation provides a physical basis for the Wigner phase-space formulation of quantum mechanics by analyzing the case of a relativistic spin-zero particle in an external electromagnetic field. The Wigner function can be interpreted as both a generalized transformation and a field which defines a quantum potential in phase space. We also propose a Lorentz-vector distribution function which always associates positive probability densities with the real motions of particles and antiparticles in phase space.

Physical Review A•Jun 1, 1986•27 citations

On the causal interpretation of quantum mechanics

Yu. P. Rybakov

Foundations of Physics•Jun 1, 1974•17 citations

Remarks on Relativistic Quantum Mechanics

K. V. Roberts

Physical Review•Jan 1, 1951•2 citations

On the EPR paradox and local causality principle

Zbigniew Zimpel

Formulas for calculating the joint probability of outcomes of measurements performed on mutually non-interacting component systems of a combined system prepared in an entangled state are presented. The formulas are based on non-relativistic quantum mechanics. An interpretation of the joint probability which conforms to the principle of local causality is proposed. The joint probability of outcomes of spin measurements performed on the well-known system of two spatially separated spin-1/2 particles prepared initially in the singlet state is used to illustrate the proposed interpretation of theoretical and experimental results.

arXiv:2112.04383•Nov 29, 2021•0 citations

Causal action at a distance in a relativistic system of two bound charged spinless particles: Hydrogenlike models

Christopher Dewdney, Peter Holland, Anastasios Kyprianidis +1 more

We analyze the causal quantum behavior of two charged spinless particles having different masses interacting via an action-at-a-distance relativistic scalar Coulomb potential. Developing de Broglie's idea of splitting the potential energy between the particles, we show that the predictivity constraints of relativistic predictive mechanics established by Droz-Vincent and Sudarshan are satisfied. In this way we develop a relativistic theory of hydrogenlike atoms in the framework of the causal interpretation of quantum mechanics.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•May 15, 1985•10 citations

The Causal Interpretation of Quantum Mechanics

Saul T. Epstein

Physical Review•Jan 1, 1953•21 citations
We show how the causal interpretation provides a physical basis for the Wigner phase-space formulation of quantum mechanics by analyzing the case of a relativistic spin-zero particle in an external electromagnetic field. The Wigner function can be interpreted as both a generalized transformation and a field which defines a quantum potential in phase space. We also propose a Lorentz-vector distribution function which always associates positive probability densities with the real motions of particles and antiparticles in phase space.
Formulas for calculating the joint probability of outcomes of measurements performed on mutually non-interacting component systems of a combined system prepared in an entangled state are presented. The formulas are based on non-relativistic quantum mechanics. An interpretation of the joint probability which conforms to the principle of local causality is proposed. The joint probability of outcomes of spin measurements performed on the well-known system of two spatially separated spin-1/2 particles prepared initially in the singlet state is used to illustrate the proposed interpretation of theoretical and experimental results.
We analyze the causal quantum behavior of two charged spinless particles having different masses interacting via an action-at-a-distance relativistic scalar Coulomb potential. Developing de Broglie's idea of splitting the potential energy between the particles, we show that the predictivity constraints of relativistic predictive mechanics established by Droz-Vincent and Sudarshan are satisfied. In this way we develop a relativistic theory of hydrogenlike atoms in the framework of the causal interpretation of quantum mechanics.